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Finding the Fourth Proportional to 16,489.12, 22,753.84 and 9,774.40

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Solution

The fourth proportional to 16,489.12, 22,753.84 and 9,774.40 is: 13,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.12 : 22,753.84 = 9,774.40 : x
  2. Step 2: Convert to fraction form
    16,489.12/22,753.84 = 9,774.40/x
  3. Step 3: Cross multiply
    16,489.12x = 22,753.84 × 9,774.40
  4. Step 4: Simplify right side
    16,489.12x = 222,405,133.70
  5. Step 5: Solve for x
    x = 222,405,133.70/16,489.12
  6. Step 6: Final answer
    x = 13,487.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.